A not so easy way (because it involves you to learn to work with new software) is to use GNU Screen.
Inside screen use Ctrl+Esc to enter copy/scrollback mode. Once there you do have search capabilities with / and ? for vi like search and Ctrl+a+s and Ctrl+r for emacs like search.
Once you put the cursor in the place you want to start copying hit space and move the cursor, hit space again and it will copy the block. Open any editor and hit Ctrl+a+] to paste.